An iterative approach to the solution of split variational inequalities
Filomat, Tome 36 (2022) no. 12, p. 3941

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In this paper, we investigate the split variational inequality problem in Hilbert spaces, in which an operator is ϖ-inverse strongly ψ-monotone operator and another operator is pseudomonotone. We construct an iterative algorithm for solving the split variational inequality problem. We show the strong convergence of the suggested algorithm.
DOI : 10.2298/FIL2212941Z
Classification : 49J53, 49M37, 65K10, 90C25
Keywords: Split variational inequality, Inverse strongly ψ-monotone operator, Pseudomonotone operator, Projection
Li-Jun Zhu; Zhichuan Zhu. An iterative approach to the solution of split variational inequalities. Filomat, Tome 36 (2022) no. 12, p. 3941 . doi: 10.2298/FIL2212941Z
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     author = {Li-Jun Zhu and Zhichuan Zhu},
     title = {An iterative approach to the solution of split variational inequalities},
     journal = {Filomat},
     pages = {3941 },
     year = {2022},
     volume = {36},
     number = {12},
     doi = {10.2298/FIL2212941Z},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2212941Z/}
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